摘要
引入半环上矩阵的加权广义逆的概念,探讨了半环上矩阵的加权广义逆与矩阵方程及矩阵的行(列)空间的关系.同时,得到了半环上矩阵的加权广义逆存在的几个等价刻划.
The concepts of the weighted generalized inverse of matrices over a semiring are introduced,some relationships among the weighted generalized inverse of matrices and matrix equations and the row（column）space of matrices over a semiring are studied.Also,several equivalent descriptions of the weighted generalized inverse of matrices over a semiring are obtained.
出处
《福州大学学报（自然科学版）》
CAS
CSCD
北大核心
2010年第3期312-317,共6页
Journal of Fuzhou University(Natural Science Edition)
基金
福建省自然科学基金资助项目(2008J0194)
福建省教育厅科研资助项目(JA09254)
关键词
半环
矩阵
加权广义逆
semiring
matrix
weighted generalized inverse
